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Finding the Third Proportional to 433,406 and 645,519

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Solution

The third proportional to 433,406 and 645,519 is: 961,442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,406 : 645,519 = 645,519 : x
  2. Step 2: Convert to fraction form
    433,406/645,519 = 645,519/x
  3. Step 3: Cross multiply
    433,406x = 645,519 × 645,519
  4. Step 4: Simplify right side
    433,406x = 416,694,779,361
  5. Step 5: Solve for x
    x = 416,694,779,361/433,406
  6. Step 6: Final answer
    x = 961,442.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.